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Forward Mode Automatic Differentiation for Julia
Julia
1k
165
An interface to various automatic differentiation backends in Julia.
Julia
318
39
Reverse Mode Automatic Differentiation for Julia
Julia
398
63
Taylor polynomial expansions in one and several independent variables.
Julia
392
55
forward and reverse mode automatic differentiation primitives for Julia Base + StdLibs
Julia
480
102
High accuracy derivatives, estimated via numerical finite differences (formerly FDM.jl)
Julia
320
32
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Showing 10 of 29 repositories
JuliaDiff/ChainRulesTestUtils.jl's past year of commit activity
TaylorDiff.jl
Public
Taylor-mode automatic differentiation for higher-order derivatives
JuliaDiff/TaylorDiff.jl's past year of commit activity
Julia
84
MIT
12
8
0
Updated Nov 12, 2026
TaylorSeries.jl
Public
Taylor polynomial expansions in one and several independent variables.
JuliaDiff/TaylorSeries.jl's past year of commit activity
DiffRules.jl
Public
A simple shared suite of common derivative definitions
JuliaDiff/DiffRules.jl's past year of commit activity
Julia
74
36
7
4
Updated Nov 11, 2026
ChainRulesCore.jl
Public
AD-backend agnostic system defining custom forward and reverse mode rules. This is the light weight core to allow you to define rules for your functions in your packages, without depending on any particular AD system.
JuliaDiff/ChainRulesCore.jl's past year of commit activity
ChainRules.jl
Public
forward and reverse mode automatic differentiation primitives for Julia Base + StdLibs
JuliaDiff/ChainRules.jl's past year of commit activity
ReverseDiff.jl
Public
Reverse Mode Automatic Differentiation for Julia
JuliaDiff/ReverseDiff.jl's past year of commit activity
ForwardDiff.jl
Public
Forward Mode Automatic Differentiation for Julia
JuliaDiff/ForwardDiff.jl's past year of commit activity
JuliaDiff/DifferentiationInterface.jl's past year of commit activity
Julia
318
MIT
39
74
7
Updated Nov 6, 2026
FiniteDiff.jl
Public
Fast non-allocating calculations of gradients, Jacobians, and Hessians with sparsity support
JuliaDiff/FiniteDiff.jl's past year of commit activity
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